Current density functional theory of quantum dots in a magnetic field

TL;DR

This paper applies current-density functional theory to analyze quantum dots in magnetic fields, accurately predicting energies and densities, and exploring phenomena like edge reconstruction with comparison to experimental data.

Contribution

It introduces a CDFT approach for quantum dots in magnetic fields, achieving high accuracy and extending analysis to larger dots with experimental validation.

Findings

CDFT yields better than 3% accuracy for small quantum dots.

The study observes edge reconstruction at high magnetic fields.

Results align well with available experimental data.

Abstract

We present a study of ground state energies and densities of quantum dots in a magnetic field, which takes into account correlation effects through the Current-density functional theory (CDFT). The method is first tested against exact results for the energy and density of 2 and 3 electrons quantum dots, and it is found to yield an accuracy better than $ 3 \%. $ Then we extend the study to larger dots and compare the results with available experimental data. The orbital and spin angular momenta of the ground state, and the evolution of the density profile as a function of the magnetic field are calculated. Quantitative evidence of edge reconstruction at high magnetic field is presented.